Excerpt from Beast Academy Guide 3D. (C) 2013 www.BeastAcademy.

com

FRACTIONS
Fract ions a re Num b e rs!
A fraction is a number.
Fractions are also another way to write division.
1
For example, we can write 12 as 2 .

The
1 is the The 2 is the
numerator.
|ts the number 1
_ denominator.
|ts the number we
being divided.
2 are dividing by.

Since a fraction is a number, we can put it on the number line.

1
To locate 2 on the number line, we divide the number line
between 0 and 1 into two pieces of equal length.
1
Each piece has a length of 2 .
1
The first piece begins at 0 and ends at 2 .

0 1
1
2

PRACTICE Label the number marked with an arrow on each number line below.

1. 2.

0 1 0 1

3. 4.

0 1 0 1

Beast Academy Practice 3D 7

 Excerpt from Beast Academy Guide 3D. (C) 2013 www.BeastAcademy.com
Com p a ring Unit Fra ctions
F RACTIONS 1 1
EXAMPLE Which is greater, 5 or 7 ?
A unit fraction
is a fraction that
has a numerator 1 1
We can compare 5 to 7 on the number line.
of 1.
1
To locate 5 , we divide the number line between 0 and 1 into
1
five equal pieces. The first piece begins at 0 and ends at 5 .
We can
compare unit 1
To locate 7 , we divide the number line between 0 and 1 into
fractions on a 1
number line. seven equal pieces. The first piece begins at 0 and ends at 7 .
1
5

1
0 7 1
1 1
Since 5 is to the right of 7 on the number line,
1 1 The
5
is greater than 7 .
more equal
pieces you divide
something into,
the smaller each
piece must be!
PRACTICE Compare each pair of fractions given below.

1 1
5. Which is greater, 2 or 3 ? 5. __________

0 1

1 1
6. Which is greater, 6 or 9 ? 6. __________

0 1

1 1
7. Which is greater, 11 or 10 ? 7. __________

0 1

1 1
8. Which is greater, 40 or 29 ? 8. __________

0 1

1 1
9. Which is greater, 91 or 100 ? 9. __________

8 Beast Academy Practice 3D

 Excerpt from Beast Academy Guide 3D. (C) 2013 www.BeastAcademy.com

F RACTIONS
Whole - Num b e r Fra ct ions
Some fractions
equal whole 15
numbers! EXAMPLE Write 3 as a whole number.

Since fractions are another way

15
to write division, 3 means 153.

15
So, 3 equals 153=5.

PRACTICE Write each fraction below as a whole number.

16 48
10. =_____ 11. =_____
8 4

45 75
12. =_____ 13. =_____
9 25

39 12
14. =_____ 15. =_____
13 12

PRACTICE Fill in the numerator that will make each equation below true.

16. =2 17. =10

3 7

18. =12 19. =9

3 6

PRACTICE Fill in the denominator that will make each equation below true.

12 56
20. =2 21. =7

35 36
22. =5 23. =4

Beast Academy Practice 3D Guide Pages: 22-24 9

 Excerpt from Beast Academy Guide 3D. (C) 2013 www.BeastAcademy.com

In a Fraction Link puzzle, the goal is to connect

Fra ct ion Link
F RACTIONS
|n these each pair of equal numbers by a path.
Fraction
Link puzzles,
Paths may only go up, down, left or right through squares.
we connect
fractions and Paths must begin and end at a number, but they may not pass
whole numbers through squares that contain numbers.
that are
equal. Only one path may pass through each square.

Below is an example of a Fraction Link puzzle and its solution:

20 20
5 5
21 21
7
6 7
6
12 12
2 2
15 15
3
3 3
3
4 5 4 5

PRACTICE Solve each Fraction Link puzzle below. We recommend using a pencil.

You can print more copies of these Fraction Link puzzles at BeastAcademy.com.

24. 1 25. 1 2
10 6 5
2 5 2 5
9 4
3 3 2
6
6
3

26. 8 27. 11 12
2 11 6

2 3
40
3 2 10
18
4 4 6
6 12
3 4
1

10 Guide Pages: 22-24 Beast Academy Practice 3D